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SVEN [57.7K]
3 years ago
5

Find the slope of the line y = –7 2 x − 5 8 . Simplify your answer and write it as a proper fraction, improper fraction, or inte

ger.
Mathematics
1 answer:
Bezzdna [24]3 years ago
8 0

Answer:

Slope = -7/2

Step-by-step explanation:

The standard equation of a line is expressed as y = mx+c

m is the slope

c is the y-intercept

Given the equation y = -7/2 x - 5/8

Compare with the general equation

mx = -7/2x

Divide both sides by x

mx/x = -7x/2x

m = -7/2

Hence the slope of the line is -7/2

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The figure below is made of 2 rectangular prisms.<br><br>What is the volume of this figure?
mixer [17]

Answer:

6536 cubic in

Step-by-step explanation:

1. Split both the prisms apart- In doing so, you can simplify the problem.

2. Put in the #'s for the formula which in this case is V=L*W*H, we will start with the formula for the front one, V=7*8*1 or V=7*8

3. answer for the front is 56 cubic in, now we solve for the other half.

4. V=9*1*90 or V=9*90 which is 6480 cubic in.

5. add 6480 and 56 and your answer is 6536 cubic in as your answer.

Hope this helped ;D

3 0
3 years ago
Find the intercepts of 2x-y=-4
-Dominant- [34]

Answer:

Y intercept: y=2x+4

And x intercept: x=1/2y-2

Step-by-step explanation:

7 0
3 years ago
12 litres of water are poured into an aquarium of dimensions 50cm length, 30cm breadth, and 40cm height. How high (in cm) will t
masya89 [10]
12 l = 12000 cm3 = x * 30 * 50 => x = 12000/1500 = 8 cm;
7 0
3 years ago
Read 2 more answers
4 ftA wire isneeded tosupport averticalpole 4 feettall. Thecable willbeanchoredto a stake3 feet fromthe baseof thepole. How3 ftA
Oxana [17]

SOLUTION

From the image in the question, we can see that it is a right triangle problem.

And we can use the Pythagoras theorem to solve for the length of cable wire needed.

Pythagoras theorem states that:

\begin{gathered} \text{hypotenuse}^2=opposite^2+adjacent^2 \\ x^2=4^2+3^2 \end{gathered}\begin{gathered} x^2=16+9 \\ x^2=25 \\ \text{Take the square roots of both sides:} \\ \sqrt[]{x^2}=\sqrt[]{25} \\ x=5ft \end{gathered}

Final Answer:

A cable of length 5 feet is needed.

5 0
1 year ago
It is known that only 1% of U.S citizens living on East Coast will be exposed to Lyme disease. There is a blood test they can de
aniked [119]

We need to find the probability that a randomly selected US citizen living on the East Cost will be exposed to Lyme disease and test positive.

We know that 1% of U.S citizens living on the East Coast will be exposed to Lyme disease. And only 95% of them will test positive.

Thus, the probability that this person will be exposed to Lyme disease and test positive is given by:

95\%\cdot1\%=\frac{95}{100}\cdot\frac{1}{100}=\frac{95}{10000}=0.0095

<em>Answer</em>: 0.0095

5 0
1 year ago
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